We compactify the spaces K(m,n) introduced by Maxim Kontsevich. The initial idea was to construct an L∞ algebra governing the deformations of a (co)associative bialgebra. However, this compactification leads not to a resolution of the PROP of (co)associative bialgebras, but to a new algebraic structure we call here a CROC. It turns out that these constructions are related to the non-commutative...

investigating the parameters influencing the behavior of buried pipelines under dynamic loading is of great importance. in this study the soil structure interaction of the pipelines with the surrounding soil was addressed using shaking table tests. wave propagation along the soil layers was also included in the study. the semi infinite nature of the field was simulated using a laminar shear box...

purpose: blast-induced traumatic brain injury (btbi) is one of the causes of death or permanent   invalidity which can occur unexpectedly in both military and civilian populations. this study   set out to conduct a combined eulerian-lagrangian computational analysis of the interaction   between a single planar blast wave and a human head in order to assess the extent of intracranial   shock wav...

starting from two-dimensional (2d) equations of motion, discretized formulations for transient behavior of soil-structure interaction problems have been derived. two different dynamic infinite elements taking into account single and two-wave types are presented in transformed space. by coupling the infinite elements with standard finite elements, an ordinary finite element procedure is used for...

Rigid plate-like particles displaying interfacial slip can attain a constant orientation in shear flow when the length is sufficiently large. But actual thin such as single-layer graphene are prone to bending deformations exposed stress. To study effect of deformation on particle's stable orientation, we develop two-dimensional fluid-structure interaction model. We find that (i) alignment occur...

A ring of 8-15 identical c-subunits is essential for ion-translocation by the rotary electromotor of the ubiquitous F(O)F(1)-ATPase. Here we present the crystal structure at 3.4Å resolution of the c-ring from chloroplasts of a higher plant (Pisum sativum), determined using a native preparation. The crystal structure was found to resemble that of an (ancestral) cyanobacterium. Using elastic netw...

Designing large ultra-lightweight structures within a fluid flow, such as inflatable hangars in an atmospheric environment, requires an analysis of the naturally occurring fluid-structure interaction (FSI). To this end multidisciplinary simulation techniques may be used. The latter, though, have to be capable of dealing with complex shapes and large deformations as well as challenging phenomena...